Question

3× ao quadrado -4=0​

Answer 1

Resposta:

$x_1 = + \frac{2\sqrt3}{3}\\x_2 = - \frac{2\sqrt3}{3}$

Explicação passo-a-passo:

O problema:

$3x^2 -4 = 0\\3x^2 = 4\\x^2 = \frac{4}{3}\\x = \pm \sqrt{\frac{4}{3}} = \pm \frac{\sqrt4}{\sqrt3}\\x = \pm \frac{2}{\sqrt3}$

Racionalizemos:

$x = \pm \frac{2}{\sqrt3} * \frac{\sqrt3}{\sqrt3} = \pm \frac{2\sqrt3}{3}$